Abstract:
We present a formal model for qualitative spatial reasoning with cardinal
directions that is based on a recent proposal in the literature. We use our
formal framework to study the composition operation for the cardinal direction
relations of this model. We consider progressively more expressive classes of
cardinal direction relations and give composition algorithms for these classes.
Finally, when we consider the problem in its generality, we show that the
binary relation resulting from the composition of some cardinal direction
relations cannot even be expressed using the relations which are currently
employed by the related proposal.
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